4807 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 3960.

The previous prime is 4801. The next prime is 4813. The reversal of 4807 is 7084.

It is a happy number.

4807 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4801) and next prime (4813).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4807 - 2³ = 4799 is a prime.

It is a super-3 number, since 3×4807³ = 333229637829, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁴⁸⁰⁷ is an apocalyptic number.

4807 is a deficient number, since it is larger than the sum of its proper divisors (953).

4807 is a wasteful number, since it uses less digits than its factorization.

4807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4807 is about 69.3325320467. The cubic root of 4807 is about 16.8768493629.

4807 divided by its sum of digits (19) gives a triangular number (253 = T₂₂).

The spelling of 4807 in words is "four thousand, eight hundred seven".